Positive solutions to a second order multi-point boundary-value problem
We prove the existence of positive solutions to the boundary-value problem $$ displaylines{ u''+lambda a(t)f(u,u')=0 cr u(0)=0,quad u(1)=sum^{m-2}_{i=1} a_i u(xi_i) ,, }$$ where $a$ is a continuous function that may change sign on $[0,1]$, $f$ is a continuous function with $f(0,0)>...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2000-10-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2000/65/abstr.html |